MATH-3113-009 - Spring 2018

Introduction to Ordinary Differential Equations

Important links — Resources & HomeworkExam info & Solutions

Instructor — Max Forester (mf@ou.edu)

Meeting — MWF 10:30-11:20, PHSC 321

Office Hours — Wed 1:30-2:20, Fri 11:30-12:20, or by appointment, PHSC 1110

Prerequisites — MATH 2433 or MATH 2924; note also that this course duplicates two hours of MATH 3413 (Physical Math I).

Textbook — Differential Equations and Boundary Value Problems (5th ed), by C. Henry Edwards, David E. Penney, and David T. Calvis, Pearson, 2015, ISBN 0-321-79698-5. You are responsible for doing the correct homework problems, which are in this book. However, if you can obtain these in some other way, you are welcome to use an older edition of the book. Update — I have looked over both the 5th edition and the 4th edition, and it appears that except for section 4.1, the homework problems are identical. So the 4th edition should be usable.

Attendance — You are expected to attend all classes and participate fully. You are responsible for being aware of any announcements made in class.

Grading — Your grades will be posted regularly on Canvas (http://canvas.ou.edu). It is your responsiblity to monitor your own grades for accuracy. Any mistake should be reported to me right away so it can be remedied. Your final grade will be computed from homework assignments and quizzes, three midterm exams, and a comprehensive final exam, weighted as follows:

 Homework/Quizzes 15% / 5%  More details below
 Three midterms 50%  Lowest 10%, other two 20% each
 Final 30%  Comprehensive

Final letter grades will be given according to the following scale:

A B C D F
100-90 89-75 74-60 59-45 44-0

Homework — Homework will be assigned regularly, and due (usually) on Mondays by 3 pm. It can be turned in during class or brought to my office (under the door is fine). Late homework will not be accepted under any circumstances. I will drop your two lowest homework scores.

You are allowed to work with each other in small groups. However, you will need to prepare individual written solutions.

Your homework must be neat and legible, with your full name and section number written clearly on the top. The pages must be stapled, and all spiral notebook fringes must be removed. Otherwise, the homework will not be accepted.

Quizzes — I will give short quizzes in class, usually on Fridays. These will normally deal with recent concepts (even from the previous lecture). You should make every effort to keep up with the material. The lowest two quiz scores will be dropped.

Exams — There will be three exams during the course, given during the regular lecture time. All exams must be taken at the scheduled times, except in extraordinary circumstances. Please do not arrange travel plans that conflict with these dates.

The final exam will be held in the usual lecture room at the time shown below. University regulations require that it be held at this time.

 Three exams Wed 2/14, Wed 3/14, and Wed 4/18
 Final Exam Wednesday 5/9, 8:00-10:00 am

Calculators — Calculators will not be needed, or allowed, during exams. Otherwise, you are welcome to use them as you see fit when studying for the class or working on homework.

Withdrawl and Incomplete grades — Please review the University's grading regulations:

http://www.ou.edu/content/recordsandtranscripts/grading_policy.html

governing the grades of Withdrawl (W) and Incomplete (I). Add/drop deadlines can be found at the university's academic calendar:

http://www.ou.edu/content/admissions/academic_calendar/spring-2018.html

Academic honesty — All cases of suspected academic misconduct will be referred to the Dean of the College of Arts and Sciences for prosecution under the University's Academic Misconduct Code. See

http://integrity.ou.edu/students.html

for more details on the University's policies concerning academic misconduct.

Religious Holidays — It is the policy of the University to excuse the absences of students that result from religious observances and to provide without penalty for the rescheduling of examinations and additional required class work that may fall on religious holidays. If you plan to observe a religious holiday notify the instructor as soon as possible in order to make appropriate arrangements.

Disability Services — The University of Oklahoma is committed to providing reasonable accommodations for all students with disabilities. Students with disabilities who require accommodations in this course are requested to speak with me as early in the semester as possible. Students with disabilities must be registered with the Office of Disability Services prior to receiving accommodations in this course. The Office of Disability Services is located in Goddard Health Center, Suite 166: phone (405) 325-3852 or TDD (only (405) 325-4173. Check

http://www.ou.edu/drc/home.html

for more information.

Syllabus — This is a tentative schedule for the class. I will update it as we go to reflect what we actually cover in class.

 Week  Date Material
       
 1  1/17 W 1.1  Differential equations and mathematical models
 1/19 F 1.2  Integrals as solutions
1.3  Slope fields and solution curves
 2  1/22 M 1.4  Separable equations and applications
 1/24 W 1.4
 1/26 F 1.4
 3  1/29 M 1.5  Linear first-order equations
 1/31 W 1.6  Substitution methods
 2/2 F 1.6
 4  2/5 M 3.1  Second-order linear equations
 2/7 W 3.1
 2/9 F 3.2  General solutions of linear equations
 5  2/12 M Review
 2/14 W Exam 1
 2/16 F 3.2
 6  2/19 M 3.3  Homogeneous equations with constant coefficients
 2/21 W 3.3
 2/23 F 3.4  Mechanical vibrations
 7  2/26 M 3.4
 2/28 W 3.5  Nonhomogeneous equations and undetermined coefficients
 3/2 F 3.5
 8  3/5 M 3.6  Forced oscillations and resonance
 3/7 W 3.6
 3/9 F 7.1  Laplace transforms
 9  3/12 M Review
 3/14 W Exam 2
 3/16 F 7.1
 10  3/26 M 7.2  Initial value problems
 3/28 W 7.2
 3/30 F 7.3  Translation and partial fractions
 11  4/2 M 7.3
 4/4 W 7.4  Derivatives, integrals, and products of transforms
 4/6 F 7.5  Periodic and piecewise continuous input functions
 12  4/9 M 7.5
 4/11 W 7.6  Impulses and delta functions
 4/13 F 7.6
 13  4/16 M Review
 4/18 W Exam 3
 4/20 F 4.1  First order systems
 14  4/23 M 4.2  Elimination
 4/25 W 5.1  Matrices and linear systems
 4/27 F 5.2  The eigenvalue method
 15  4/30 M 5.2
 5/2 W 5.2
 5/4 F Review
       
 16  5/9 W Final Exam  8:00 - 10:00 am